Question

QUESTION 2 (20)
You are the owner of a gym, and are interested in determining which day of the week people most often attend.
You monitor your gym attendees for 16 days, and the number of gym attendees are as follows:
35 22 18 54 22 46 28 31
43 22 14 17 25 19 33 14

2.1. Draw a grouped frequency table of 6 classes of equal width, using the following headings: (5)

Interval Frequency Cumulative
Frequency

2.2.What is meant by the terms “mutually exclusive” and “exhaustive”? Use the table in Question 2.1 above to
illustrate your answer. (2)
2.3 Given you answer Question 2.1 and 2.2 above, state whether or not the conditions exclusivity and exhaustivity
have been met in this case? (2)
2.4. Calculate the range using the raw data. (2)
2.5. Using the raw data, calculate the:
2.5.1 mean (2)
2.5.2 median (2)
2.5.3 mode (2)
2.6. In this scenario, what measure of central tendency and spread would be most suitable to the data, and why?
Use calculations above to justify your answer.

Answer 1